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Finding the Fourth Proportional to 8,283.60, 12,425.13 and 6,818.31

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Solution

The fourth proportional to 8,283.60, 12,425.13 and 6,818.31 is: 10,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.60 : 12,425.13 = 6,818.31 : x
  2. Step 2: Convert to fraction form
    8,283.60/12,425.13 = 6,818.31/x
  3. Step 3: Cross multiply
    8,283.60x = 12,425.13 × 6,818.31
  4. Step 4: Simplify right side
    8,283.60x = 84,718,388.13
  5. Step 5: Solve for x
    x = 84,718,388.13/8,283.60
  6. Step 6: Final answer
    x = 10,227.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.